Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions
Muthaiah Subramanian, Jehad Alzabut, Dumitru Bǎleanu, Mohammad Esmael Samei, Akbar Zada
Abstract
Abstract In this paper, we examine the consequences of existence, uniqueness and stability of a multi-point boundary value problem defined by a system of coupled fractional differential equations involving Hadamard derivatives. To prove the existence and uniqueness, we use the techniques of fixed point theory. Stability of Hyers-Ulam type is also discussed. Furthermore, we investigate variations of the problem in the context of different boundary conditions. The current results are verified by illustrative examples.
Topics & Concepts
UniquenessMathematicsOrdinary differential equationHadamard transformBoundary value problemMathematical analysisContext (archaeology)Stability (learning theory)Applied mathematicsPartial differential equationFixed pointOrder (exchange)Differential equationComputer scienceBiologyPaleontologyMachine learningEconomicsFinanceNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods